In mathematics, a two-body problem is about the trajectories of two objects interacting only with each other (a star and a planet, for example). This kind of problem has a simple mathematical solution. Not so for two human bodies, however (two lovers, or two friends) as we learn from this story about the limits of art or math, those realms of perfection. In a beach town in the South of France, a writer and a mathematician happen to meet, start trading stories about bachelor life, relationships, loves lost. Encountering several young women as the day passes, they banter with them about art and mathematics, playfully, passionately, seductively. The two men also begin to see both what bonds them and the ways in which they may greatly differ. That evening, the two men and the women met earlier are partying when a surprising guest shows up, and tensions apparent earlier reach an unexpected conclusion. The Two-Body Problem evokes the male adventurers of Sideways and Swingers; the mathematical allegories of Good Will Hunting, A Beautiful Mind, and the TV show Numb3rs; and the intricate plotting of Swimming Pool.